1377478769004 has 288 divisors, whose sum is σ = 3881453890496. Its totient is φ = 409258967040.

The previous prime is 1377478768993. The next prime is 1377478769041. The reversal of 1377478769004 is 4009678747731.

1377478769004 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 478 + 76 + 90 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 644584224 + ... + 644586360.

Almost surely, 2^{1377478769004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377478769004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940726945248).

1377478769004 is an abundant number, since it is smaller than the sum of its proper divisors (2503975121492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1377478769004 is a wasteful number, since it uses less digits than its factorization.

1377478769004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 1377478769004 in words is "one trillion, three hundred seventy-seven billion, four hundred seventy-eight million, seven hundred sixty-nine thousand, four".